Chapter 7, Problem 7RP

To determine

To calculate : The half of the measure of the largest angle of the triangle

Answer to Problem 7RP

The measure of the largest angle of the triangle is ${45}^0$

Explanation of Solution

Given information : The following statement has been given

The measures of the angles of a triangle are in the ratio $1:2:3$

Formula used : The sum of the angles of any triangle is equal to ${180}^0$

Calculation : We know that the measures of the angles of a triangle are in the ratio $1:2:3$ . Hence, let’s assume the angles to be x , 2x , and 3x .

Now, we add up the angles to make it equal to ${180}^0$

Hence, we get

  $x+2x+3x={180}^0\to x={30}^0$

Thus, the measure of the largest angle of the triangle will be 3x

  $\frac{1}{2}(3x)={45}^0$